On the entropy solution to an elliptic problem in anisotropic Sobolev-Orlicz spaces

DOI10.1134/S0965542517030101zbMath1371.35096OpenAlexW2607358678MaRDI QIDQ2359085

L. M. Kozhevnikova

Publication date: 27 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517030101

zbMATH Keywords

Dirichlet problemanisotropic elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space ⋮ Study of some nonlinear elliptic equation with non-polynomial anisotropic growth ⋮ On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices in unbounded domains ⋮ Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces ⋮ Existence of a renormalized solution to an anisotropic parabolic problem with variable nonlinearity exponents ⋮ Equivalence of entropy and renormalized solutions of anisotropic elliptic problem in unbounded domains with measure data ⋮ On some nonlinear elliptic problems in anisotropic Orlicz-Sobolev spaces ⋮ Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents ⋮ Perturbation of second order nonlinear equation by delta-like potential ⋮ Existence and uniqueness of entropy solution of a nonlinear elliptic equation in anisotropic Sobolev-Orlicz space ⋮ On solutions of anisotropic elliptic equations with variable exponent and measure data

Cites Work

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• Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Existence of renormalized solution of some elliptic problems in Orlicz spaces
• Embedding theorems for anisotropic Sobolev-Orlicz spaces
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Existence of entropy solutions for some nonlinear problems in Orlicz spaces
• Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data
• Anisotropic equations in \(L^ 1\)
• Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients

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